SlideShare a Scribd company logo

4 20 points If X has a Poisson distribution and the prior.pdf

•
•
A
aadhi2009

4. (20 points) If X has a Poisson distribution and the prior distribution of its parameter (capital Greek lambda) is a gamma distribution with the parameters and , show that (a) (10 points) the posterior distribution of given X=x is a gamma distribution with the parameters +x and /(+1). (b) (5 points) the mean of the posterior distribution of is E(x)=+1(+x)(c) (5 points) the posterior mean can be rewritten as follows E(x)=w()+(1w)x where w=1/(1+). Hint: The density function of X is f(x;)=x!xe xe,x>0, while the prior distribution is h(;,)=()11e/1e/,x>0..

Education
1 of 1
Download to read offline
4. (20 points) If X has a Poisson distribution and the prior distribution of its parameter (capital Greek lambda) is a gamma distribution with the parameters and , show that (a) (10 points) the posterior distribution of given X=x is a gamma distribution with the parameters +x and /(+1). (b) (5 points) the mean of the posterior distribution of is E(x)=+1(+x)(c) (5 points) the posterior mean can be rewritten as follows E(x)=w()+(1w)x where w=1/(1+). Hint: The density function of X is f(x;)=x!xe xe,x>0, while the prior distribution is h(;,)=()11e/1e/,x>0.

Recommended

3 The joint density function of X and Y is given by fxy.pdf
3 The joint density function of X and Y is given by fxy.pdf3 The joint density function of X and Y is given by fxy.pdf
3 The joint density function of X and Y is given by fxy.pdfaadhi2009
 
1 What features make preferred stock similar to debt Simil.pdf
1 What features make preferred stock similar to debt Simil.pdf1 What features make preferred stock similar to debt Simil.pdf
1 What features make preferred stock similar to debt Simil.pdfaadhi2009
 
College Accounting 2 All 4 photos combine as tabs of a sing.pdf
College Accounting 2 All 4 photos combine as tabs of a sing.pdfCollege Accounting 2 All 4 photos combine as tabs of a sing.pdf
College Accounting 2 All 4 photos combine as tabs of a sing.pdfaadhi2009
 
1 Humans dogs cats and all species of plant in my garden.pdf
1 Humans dogs cats and all species of plant in my garden.pdf1 Humans dogs cats and all species of plant in my garden.pdf
1 Humans dogs cats and all species of plant in my garden.pdfaadhi2009
 
1 Todos los grupos tambin son equipos Una verdad B Fals.pdf
1 Todos los grupos tambin son equipos Una verdad B Fals.pdf1 Todos los grupos tambin son equipos Una verdad B Fals.pdf
1 Todos los grupos tambin son equipos Una verdad B Fals.pdfaadhi2009
 
1 Cul de los siguientes NO es un grupo principal de veget.pdf
1 Cul de los siguientes NO es un grupo principal de veget.pdf1 Cul de los siguientes NO es un grupo principal de veget.pdf
1 Cul de los siguientes NO es un grupo principal de veget.pdfaadhi2009
 
20 Write a program to print number from 1 to 10 int i wh.pdf
20 Write a program to print number from 1 to 10 int i wh.pdf20 Write a program to print number from 1 to 10 int i wh.pdf
20 Write a program to print number from 1 to 10 int i wh.pdfaadhi2009
 
As it pertains to the Western European Supply Chain which o.pdf
As it pertains to the Western European Supply Chain which o.pdfAs it pertains to the Western European Supply Chain which o.pdf
As it pertains to the Western European Supply Chain which o.pdfaadhi2009
 

Recommended

3 The joint density function of X and Y is given by fxy.pdf
3 The joint density function of X and Y is given by fxy.pdf3 The joint density function of X and Y is given by fxy.pdf
3 The joint density function of X and Y is given by fxy.pdfaadhi2009
 
1 What features make preferred stock similar to debt Simil.pdf
1 What features make preferred stock similar to debt Simil.pdf1 What features make preferred stock similar to debt Simil.pdf
1 What features make preferred stock similar to debt Simil.pdfaadhi2009
 
College Accounting 2 All 4 photos combine as tabs of a sing.pdf
College Accounting 2 All 4 photos combine as tabs of a sing.pdfCollege Accounting 2 All 4 photos combine as tabs of a sing.pdf
College Accounting 2 All 4 photos combine as tabs of a sing.pdfaadhi2009
 
1 Humans dogs cats and all species of plant in my garden.pdf
1 Humans dogs cats and all species of plant in my garden.pdf1 Humans dogs cats and all species of plant in my garden.pdf
1 Humans dogs cats and all species of plant in my garden.pdfaadhi2009
 
1 Todos los grupos tambin son equipos Una verdad B Fals.pdf
1 Todos los grupos tambin son equipos Una verdad B Fals.pdf1 Todos los grupos tambin son equipos Una verdad B Fals.pdf
1 Todos los grupos tambin son equipos Una verdad B Fals.pdfaadhi2009
 
1 Cul de los siguientes NO es un grupo principal de veget.pdf
1 Cul de los siguientes NO es un grupo principal de veget.pdf1 Cul de los siguientes NO es un grupo principal de veget.pdf
1 Cul de los siguientes NO es un grupo principal de veget.pdfaadhi2009
 
20 Write a program to print number from 1 to 10 int i wh.pdf
20 Write a program to print number from 1 to 10 int i wh.pdf20 Write a program to print number from 1 to 10 int i wh.pdf
20 Write a program to print number from 1 to 10 int i wh.pdfaadhi2009
 
As it pertains to the Western European Supply Chain which o.pdf
As it pertains to the Western European Supply Chain which o.pdfAs it pertains to the Western European Supply Chain which o.pdf
As it pertains to the Western European Supply Chain which o.pdfaadhi2009
 
What are the challenges the community faces in providing car.pdf
What are the challenges the community faces in providing car.pdfWhat are the challenges the community faces in providing car.pdf
What are the challenges the community faces in providing car.pdfaadhi2009
 
Researchers watched groups of dolphins off the coast of Irel.pdf
Researchers watched groups of dolphins off the coast of Irel.pdfResearchers watched groups of dolphins off the coast of Irel.pdf
Researchers watched groups of dolphins off the coast of Irel.pdfaadhi2009
 
There has been increase in annual salaries for Patricia The.pdf
There has been increase in annual salaries for Patricia The.pdfThere has been increase in annual salaries for Patricia The.pdf
There has been increase in annual salaries for Patricia The.pdfaadhi2009
 
Tarea de estudio de caso 10 Caso 102 Drogas coralinas .pdf
Tarea de estudio de caso 10 Caso 102 Drogas coralinas .pdfTarea de estudio de caso 10 Caso 102 Drogas coralinas .pdf
Tarea de estudio de caso 10 Caso 102 Drogas coralinas .pdfaadhi2009
 
A data dictionary is a centralized repository that provides .pdf
A data dictionary is a centralized repository that provides .pdfA data dictionary is a centralized repository that provides .pdf
A data dictionary is a centralized repository that provides .pdfaadhi2009
 
Problem 12 The US Treasuries had the following term struct.pdf
Problem 12 The US Treasuries had the following term struct.pdfProblem 12 The US Treasuries had the following term struct.pdf
Problem 12 The US Treasuries had the following term struct.pdfaadhi2009
 
Problem 2 Let X be a random variable with cdf FXx1+x.pdf
Problem 2 Let X be a random variable with cdf FXx1+x.pdfProblem 2 Let X be a random variable with cdf FXx1+x.pdf
Problem 2 Let X be a random variable with cdf FXx1+x.pdfaadhi2009
 
Paleontology ecology 1 A lot of our regional vegetation i.pdf
Paleontology ecology 1 A lot of our regional vegetation i.pdfPaleontology ecology 1 A lot of our regional vegetation i.pdf
Paleontology ecology 1 A lot of our regional vegetation i.pdfaadhi2009
 
Planning Goals and outcomes Goal Maintain a patent airwa.pdf
Planning Goals and outcomes Goal Maintain a patent airwa.pdfPlanning Goals and outcomes Goal Maintain a patent airwa.pdf
Planning Goals and outcomes Goal Maintain a patent airwa.pdfaadhi2009
 
please answer those questions 6 An atom Gi has a heavier .pdf
please answer those questions 6 An atom Gi has a heavier .pdfplease answer those questions 6 An atom Gi has a heavier .pdf
please answer those questions 6 An atom Gi has a heavier .pdfaadhi2009
 
659 X and Y have joint density function fxyx2y21x1y1 .pdf
659 X and Y have joint density function fxyx2y21x1y1 .pdf659 X and Y have joint density function fxyx2y21x1y1 .pdf
659 X and Y have joint density function fxyx2y21x1y1 .pdfaadhi2009
 
Nvidia CUDA Subsystems Which three of the following stateme.pdf
Nvidia CUDA Subsystems Which three of the following stateme.pdfNvidia CUDA Subsystems Which three of the following stateme.pdf
Nvidia CUDA Subsystems Which three of the following stateme.pdfaadhi2009
 
Lipids 1 I lcino thic winrd hank namo thaca tinac af molar.pdf
Lipids 1 I lcino thic winrd hank namo thaca tinac af molar.pdfLipids 1 I lcino thic winrd hank namo thaca tinac af molar.pdf
Lipids 1 I lcino thic winrd hank namo thaca tinac af molar.pdfaadhi2009
 
Let XUnif01 The density of YX3 is fy2ypath dM95.pdf
Let XUnif01 The density of YX3 is fy2ypath dM95.pdfLet XUnif01 The density of YX3 is fy2ypath dM95.pdf
Let XUnif01 The density of YX3 is fy2ypath dM95.pdfaadhi2009
 
Lottery Prizes A lottery offers one 1000 prize two 600 pr.pdf
Lottery Prizes A lottery offers one 1000 prize two 600 pr.pdfLottery Prizes A lottery offers one 1000 prize two 600 pr.pdf
Lottery Prizes A lottery offers one 1000 prize two 600 pr.pdfaadhi2009
 
Date of Acquisition Consolidation Eliminating Entries Prolin.pdf
Date of Acquisition Consolidation Eliminating Entries Prolin.pdfDate of Acquisition Consolidation Eliminating Entries Prolin.pdf
Date of Acquisition Consolidation Eliminating Entries Prolin.pdfaadhi2009
 
Magnus Tech owns 30 of Mirika Inc and accounts for the inv.pdf
Magnus Tech owns 30 of Mirika Inc and accounts for the inv.pdfMagnus Tech owns 30 of Mirika Inc and accounts for the inv.pdf
Magnus Tech owns 30 of Mirika Inc and accounts for the inv.pdfaadhi2009
 
Consider the following relation instance Observe that Bg.pdf
Consider the following relation instance Observe that Bg.pdfConsider the following relation instance Observe that Bg.pdf
Consider the following relation instance Observe that Bg.pdfaadhi2009
 
6 Using the Inclusion Framework Table 93 how can a perso.pdf
6 Using the Inclusion Framework Table 93 how can a perso.pdf6 Using the Inclusion Framework Table 93 how can a perso.pdf
6 Using the Inclusion Framework Table 93 how can a perso.pdfaadhi2009
 
CSV is a very common data file format that you can find data.pdf
CSV is a very common data file format that you can find data.pdfCSV is a very common data file format that you can find data.pdf
CSV is a very common data file format that you can find data.pdfaadhi2009
 
SPLICE Working Group: Reusable Code Examples
SPLICE Working Group: Reusable Code ExamplesSPLICE Working Group: Reusable Code Examples
SPLICE Working Group: Reusable Code ExamplesPeter Brusilovsky
 
An Overview of the Odoo 17 Knowledge App
An Overview of the Odoo 17 Knowledge AppAn Overview of the Odoo 17 Knowledge App
An Overview of the Odoo 17 Knowledge AppCeline George
 

More Related Content

More from aadhi2009

What are the challenges the community faces in providing car.pdf
What are the challenges the community faces in providing car.pdfWhat are the challenges the community faces in providing car.pdf
What are the challenges the community faces in providing car.pdfaadhi2009
 
Researchers watched groups of dolphins off the coast of Irel.pdf
Researchers watched groups of dolphins off the coast of Irel.pdfResearchers watched groups of dolphins off the coast of Irel.pdf
Researchers watched groups of dolphins off the coast of Irel.pdfaadhi2009
 
There has been increase in annual salaries for Patricia The.pdf
There has been increase in annual salaries for Patricia The.pdfThere has been increase in annual salaries for Patricia The.pdf
There has been increase in annual salaries for Patricia The.pdfaadhi2009
 
Tarea de estudio de caso 10 Caso 102 Drogas coralinas .pdf
Tarea de estudio de caso 10 Caso 102 Drogas coralinas .pdfTarea de estudio de caso 10 Caso 102 Drogas coralinas .pdf
Tarea de estudio de caso 10 Caso 102 Drogas coralinas .pdfaadhi2009
 
A data dictionary is a centralized repository that provides .pdf
A data dictionary is a centralized repository that provides .pdfA data dictionary is a centralized repository that provides .pdf
A data dictionary is a centralized repository that provides .pdfaadhi2009
 
Problem 12 The US Treasuries had the following term struct.pdf
Problem 12 The US Treasuries had the following term struct.pdfProblem 12 The US Treasuries had the following term struct.pdf
Problem 12 The US Treasuries had the following term struct.pdfaadhi2009
 
Problem 2 Let X be a random variable with cdf FXx1+x.pdf
Problem 2 Let X be a random variable with cdf FXx1+x.pdfProblem 2 Let X be a random variable with cdf FXx1+x.pdf
Problem 2 Let X be a random variable with cdf FXx1+x.pdfaadhi2009
 
Paleontology ecology 1 A lot of our regional vegetation i.pdf
Paleontology ecology 1 A lot of our regional vegetation i.pdfPaleontology ecology 1 A lot of our regional vegetation i.pdf
Paleontology ecology 1 A lot of our regional vegetation i.pdfaadhi2009
 
Planning Goals and outcomes Goal Maintain a patent airwa.pdf
Planning Goals and outcomes Goal Maintain a patent airwa.pdfPlanning Goals and outcomes Goal Maintain a patent airwa.pdf
Planning Goals and outcomes Goal Maintain a patent airwa.pdfaadhi2009
 
please answer those questions 6 An atom Gi has a heavier .pdf
please answer those questions 6 An atom Gi has a heavier .pdfplease answer those questions 6 An atom Gi has a heavier .pdf
please answer those questions 6 An atom Gi has a heavier .pdfaadhi2009
 
659 X and Y have joint density function fxyx2y21x1y1 .pdf
659 X and Y have joint density function fxyx2y21x1y1 .pdf659 X and Y have joint density function fxyx2y21x1y1 .pdf
659 X and Y have joint density function fxyx2y21x1y1 .pdfaadhi2009
 
Nvidia CUDA Subsystems Which three of the following stateme.pdf
Nvidia CUDA Subsystems Which three of the following stateme.pdfNvidia CUDA Subsystems Which three of the following stateme.pdf
Nvidia CUDA Subsystems Which three of the following stateme.pdfaadhi2009
 
Lipids 1 I lcino thic winrd hank namo thaca tinac af molar.pdf
Lipids 1 I lcino thic winrd hank namo thaca tinac af molar.pdfLipids 1 I lcino thic winrd hank namo thaca tinac af molar.pdf
Lipids 1 I lcino thic winrd hank namo thaca tinac af molar.pdfaadhi2009
 
Let XUnif01 The density of YX3 is fy2ypath dM95.pdf
Let XUnif01 The density of YX3 is fy2ypath dM95.pdfLet XUnif01 The density of YX3 is fy2ypath dM95.pdf
Let XUnif01 The density of YX3 is fy2ypath dM95.pdfaadhi2009
 
Lottery Prizes A lottery offers one 1000 prize two 600 pr.pdf
Lottery Prizes A lottery offers one 1000 prize two 600 pr.pdfLottery Prizes A lottery offers one 1000 prize two 600 pr.pdf
Lottery Prizes A lottery offers one 1000 prize two 600 pr.pdfaadhi2009
 
Date of Acquisition Consolidation Eliminating Entries Prolin.pdf
Date of Acquisition Consolidation Eliminating Entries Prolin.pdfDate of Acquisition Consolidation Eliminating Entries Prolin.pdf
Date of Acquisition Consolidation Eliminating Entries Prolin.pdfaadhi2009
 
Magnus Tech owns 30 of Mirika Inc and accounts for the inv.pdf
Magnus Tech owns 30 of Mirika Inc and accounts for the inv.pdfMagnus Tech owns 30 of Mirika Inc and accounts for the inv.pdf
Magnus Tech owns 30 of Mirika Inc and accounts for the inv.pdfaadhi2009
 
Consider the following relation instance Observe that Bg.pdf
Consider the following relation instance Observe that Bg.pdfConsider the following relation instance Observe that Bg.pdf
Consider the following relation instance Observe that Bg.pdfaadhi2009
 
6 Using the Inclusion Framework Table 93 how can a perso.pdf
6 Using the Inclusion Framework Table 93 how can a perso.pdf6 Using the Inclusion Framework Table 93 how can a perso.pdf
6 Using the Inclusion Framework Table 93 how can a perso.pdfaadhi2009
 
CSV is a very common data file format that you can find data.pdf
CSV is a very common data file format that you can find data.pdfCSV is a very common data file format that you can find data.pdf
CSV is a very common data file format that you can find data.pdfaadhi2009
 

More from aadhi2009 (20)

What are the challenges the community faces in providing car.pdf
What are the challenges the community faces in providing car.pdfWhat are the challenges the community faces in providing car.pdf
What are the challenges the community faces in providing car.pdf
 
Researchers watched groups of dolphins off the coast of Irel.pdf
Researchers watched groups of dolphins off the coast of Irel.pdfResearchers watched groups of dolphins off the coast of Irel.pdf
Researchers watched groups of dolphins off the coast of Irel.pdf
 
There has been increase in annual salaries for Patricia The.pdf
There has been increase in annual salaries for Patricia The.pdfThere has been increase in annual salaries for Patricia The.pdf
There has been increase in annual salaries for Patricia The.pdf
 
Tarea de estudio de caso 10 Caso 102 Drogas coralinas .pdf
Tarea de estudio de caso 10 Caso 102 Drogas coralinas .pdfTarea de estudio de caso 10 Caso 102 Drogas coralinas .pdf
Tarea de estudio de caso 10 Caso 102 Drogas coralinas .pdf
 
A data dictionary is a centralized repository that provides .pdf
A data dictionary is a centralized repository that provides .pdfA data dictionary is a centralized repository that provides .pdf
A data dictionary is a centralized repository that provides .pdf
 
Problem 12 The US Treasuries had the following term struct.pdf
Problem 12 The US Treasuries had the following term struct.pdfProblem 12 The US Treasuries had the following term struct.pdf
Problem 12 The US Treasuries had the following term struct.pdf
 
Problem 2 Let X be a random variable with cdf FXx1+x.pdf
Problem 2 Let X be a random variable with cdf FXx1+x.pdfProblem 2 Let X be a random variable with cdf FXx1+x.pdf
Problem 2 Let X be a random variable with cdf FXx1+x.pdf
 
Paleontology ecology 1 A lot of our regional vegetation i.pdf
Paleontology ecology 1 A lot of our regional vegetation i.pdfPaleontology ecology 1 A lot of our regional vegetation i.pdf
Paleontology ecology 1 A lot of our regional vegetation i.pdf
 
Planning Goals and outcomes Goal Maintain a patent airwa.pdf
Planning Goals and outcomes Goal Maintain a patent airwa.pdfPlanning Goals and outcomes Goal Maintain a patent airwa.pdf
Planning Goals and outcomes Goal Maintain a patent airwa.pdf
 
please answer those questions 6 An atom Gi has a heavier .pdf
please answer those questions 6 An atom Gi has a heavier .pdfplease answer those questions 6 An atom Gi has a heavier .pdf
please answer those questions 6 An atom Gi has a heavier .pdf
 
659 X and Y have joint density function fxyx2y21x1y1 .pdf
659 X and Y have joint density function fxyx2y21x1y1 .pdf659 X and Y have joint density function fxyx2y21x1y1 .pdf
659 X and Y have joint density function fxyx2y21x1y1 .pdf
 
Nvidia CUDA Subsystems Which three of the following stateme.pdf
Nvidia CUDA Subsystems Which three of the following stateme.pdfNvidia CUDA Subsystems Which three of the following stateme.pdf
Nvidia CUDA Subsystems Which three of the following stateme.pdf
 
Lipids 1 I lcino thic winrd hank namo thaca tinac af molar.pdf
Lipids 1 I lcino thic winrd hank namo thaca tinac af molar.pdfLipids 1 I lcino thic winrd hank namo thaca tinac af molar.pdf
Lipids 1 I lcino thic winrd hank namo thaca tinac af molar.pdf
 
Let XUnif01 The density of YX3 is fy2ypath dM95.pdf
Let XUnif01 The density of YX3 is fy2ypath dM95.pdfLet XUnif01 The density of YX3 is fy2ypath dM95.pdf
Let XUnif01 The density of YX3 is fy2ypath dM95.pdf
 
Lottery Prizes A lottery offers one 1000 prize two 600 pr.pdf
Lottery Prizes A lottery offers one 1000 prize two 600 pr.pdfLottery Prizes A lottery offers one 1000 prize two 600 pr.pdf
Lottery Prizes A lottery offers one 1000 prize two 600 pr.pdf
 
Date of Acquisition Consolidation Eliminating Entries Prolin.pdf
Date of Acquisition Consolidation Eliminating Entries Prolin.pdfDate of Acquisition Consolidation Eliminating Entries Prolin.pdf
Date of Acquisition Consolidation Eliminating Entries Prolin.pdf
 
Magnus Tech owns 30 of Mirika Inc and accounts for the inv.pdf
Magnus Tech owns 30 of Mirika Inc and accounts for the inv.pdfMagnus Tech owns 30 of Mirika Inc and accounts for the inv.pdf
Magnus Tech owns 30 of Mirika Inc and accounts for the inv.pdf
 
Consider the following relation instance Observe that Bg.pdf
Consider the following relation instance Observe that Bg.pdfConsider the following relation instance Observe that Bg.pdf
Consider the following relation instance Observe that Bg.pdf
 
6 Using the Inclusion Framework Table 93 how can a perso.pdf
6 Using the Inclusion Framework Table 93 how can a perso.pdf6 Using the Inclusion Framework Table 93 how can a perso.pdf
6 Using the Inclusion Framework Table 93 how can a perso.pdf
 
CSV is a very common data file format that you can find data.pdf
CSV is a very common data file format that you can find data.pdfCSV is a very common data file format that you can find data.pdf
CSV is a very common data file format that you can find data.pdf
 

Recently uploaded

SPLICE Working Group: Reusable Code Examples
SPLICE Working Group: Reusable Code ExamplesSPLICE Working Group: Reusable Code Examples
SPLICE Working Group: Reusable Code ExamplesPeter Brusilovsky
 
An Overview of the Odoo 17 Knowledge App
An Overview of the Odoo 17 Knowledge AppAn Overview of the Odoo 17 Knowledge App
An Overview of the Odoo 17 Knowledge AppCeline George
 
An overview of the various scriptures in Hinduism
An overview of the various scriptures in HinduismAn overview of the various scriptures in Hinduism
An overview of the various scriptures in HinduismDabee Kamal
 
Personalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes GuàrdiaPersonalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes GuàrdiaEADTU
 
Improved Approval Flow in Odoo 17 Studio App
Improved Approval Flow in Odoo 17 Studio AppImproved Approval Flow in Odoo 17 Studio App
Improved Approval Flow in Odoo 17 Studio AppCeline George
 
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...Nguyen Thanh Tu Collection
 
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...EADTU
 
OSCM Unit 2_Operations Processes & Systems
OSCM Unit 2_Operations Processes & SystemsOSCM Unit 2_Operations Processes & Systems
OSCM Unit 2_Operations Processes & SystemsSandeep D Chaudhary
 
Spellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPSSpellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPSAnaAcapella
 
UChicago CMSC 23320 - The Best Commit Messages of 2024
UChicago CMSC 23320 - The Best Commit Messages of 2024UChicago CMSC 23320 - The Best Commit Messages of 2024
UChicago CMSC 23320 - The Best Commit Messages of 2024Borja Sotomayor
 
Analyzing and resolving a communication crisis in Dhaka textiles LTD.pptx
Analyzing and resolving a communication crisis in Dhaka textiles LTD.pptxAnalyzing and resolving a communication crisis in Dhaka textiles LTD.pptx
Analyzing and resolving a communication crisis in Dhaka textiles LTD.pptxLimon Prince
 
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...Nguyen Thanh Tu Collection
 
MOOD STABLIZERS DRUGS.pptx
MOOD STABLIZERS DRUGS.pptxMOOD STABLIZERS DRUGS.pptx
MOOD STABLIZERS DRUGS.pptxPoojaSen20
 
How To Create Editable Tree View in Odoo 17
How To Create Editable Tree View in Odoo 17How To Create Editable Tree View in Odoo 17
How To Create Editable Tree View in Odoo 17Celine George
 
Graduate Outcomes Presentation Slides - English (v3).pptx
Graduate Outcomes Presentation Slides - English (v3).pptxGraduate Outcomes Presentation Slides - English (v3).pptx
Graduate Outcomes Presentation Slides - English (v3).pptxneillewis46
 
Sternal Fractures & Dislocations - EMGuidewire Radiology Reading Room
Sternal Fractures & Dislocations - EMGuidewire Radiology Reading RoomSternal Fractures & Dislocations - EMGuidewire Radiology Reading Room
Sternal Fractures & Dislocations - EMGuidewire Radiology Reading RoomSean M. Fox
 

Recently uploaded (20)

SPLICE Working Group: Reusable Code Examples
SPLICE Working Group: Reusable Code ExamplesSPLICE Working Group: Reusable Code Examples
SPLICE Working Group: Reusable Code Examples
 
An Overview of the Odoo 17 Knowledge App
An Overview of the Odoo 17 Knowledge AppAn Overview of the Odoo 17 Knowledge App
An Overview of the Odoo 17 Knowledge App
 
Mattingly "AI & Prompt Design: Named Entity Recognition"
Mattingly "AI & Prompt Design: Named Entity Recognition"Mattingly "AI & Prompt Design: Named Entity Recognition"
Mattingly "AI & Prompt Design: Named Entity Recognition"
 
An overview of the various scriptures in Hinduism
An overview of the various scriptures in HinduismAn overview of the various scriptures in Hinduism
An overview of the various scriptures in Hinduism
 
Personalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes GuàrdiaPersonalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes Guàrdia
 
Improved Approval Flow in Odoo 17 Studio App
Improved Approval Flow in Odoo 17 Studio AppImproved Approval Flow in Odoo 17 Studio App
Improved Approval Flow in Odoo 17 Studio App
 
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
 
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
 
Including Mental Health Support in Project Delivery, 14 May.pdf
Including Mental Health Support in Project Delivery, 14 May.pdfIncluding Mental Health Support in Project Delivery, 14 May.pdf
Including Mental Health Support in Project Delivery, 14 May.pdf
 
Mattingly "AI and Prompt Design: LLMs with NER"
Mattingly "AI and Prompt Design: LLMs with NER"Mattingly "AI and Prompt Design: LLMs with NER"
Mattingly "AI and Prompt Design: LLMs with NER"
 
OSCM Unit 2_Operations Processes & Systems
OSCM Unit 2_Operations Processes & SystemsOSCM Unit 2_Operations Processes & Systems
OSCM Unit 2_Operations Processes & Systems
 
Spellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPSSpellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPS
 
UChicago CMSC 23320 - The Best Commit Messages of 2024
UChicago CMSC 23320 - The Best Commit Messages of 2024UChicago CMSC 23320 - The Best Commit Messages of 2024
UChicago CMSC 23320 - The Best Commit Messages of 2024
 
Analyzing and resolving a communication crisis in Dhaka textiles LTD.pptx
Analyzing and resolving a communication crisis in Dhaka textiles LTD.pptxAnalyzing and resolving a communication crisis in Dhaka textiles LTD.pptx
Analyzing and resolving a communication crisis in Dhaka textiles LTD.pptx
 
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...
 
MOOD STABLIZERS DRUGS.pptx
MOOD STABLIZERS DRUGS.pptxMOOD STABLIZERS DRUGS.pptx
MOOD STABLIZERS DRUGS.pptx
 
OS-operating systems- ch05 (CPU Scheduling) ...
OS-operating systems- ch05 (CPU Scheduling) ...OS-operating systems- ch05 (CPU Scheduling) ...
OS-operating systems- ch05 (CPU Scheduling) ...
 
How To Create Editable Tree View in Odoo 17
How To Create Editable Tree View in Odoo 17How To Create Editable Tree View in Odoo 17
How To Create Editable Tree View in Odoo 17
 
Graduate Outcomes Presentation Slides - English (v3).pptx
Graduate Outcomes Presentation Slides - English (v3).pptxGraduate Outcomes Presentation Slides - English (v3).pptx
Graduate Outcomes Presentation Slides - English (v3).pptx
 
Sternal Fractures & Dislocations - EMGuidewire Radiology Reading Room
Sternal Fractures & Dislocations - EMGuidewire Radiology Reading RoomSternal Fractures & Dislocations - EMGuidewire Radiology Reading Room
Sternal Fractures & Dislocations - EMGuidewire Radiology Reading Room
 

4 20 points If X has a Poisson distribution and the prior.pdf

  • 1. 4. (20 points) If X has a Poisson distribution and the prior distribution of its parameter (capital Greek lambda) is a gamma distribution with the parameters and , show that (a) (10 points) the posterior distribution of given X=x is a gamma distribution with the parameters +x and /(+1). (b) (5 points) the mean of the posterior distribution of is E(x)=+1(+x)(c) (5 points) the posterior mean can be rewritten as follows E(x)=w()+(1w)x where w=1/(1+). Hint: The density function of X is f(x;)=x!xe xe,x>0, while the prior distribution is h(;,)=()11e/1e/,x>0.